Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(x + 2y + 4z)2
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(x + 2y + 4z)2 = x2 + (2y)2 + (4z)2 + 2(x)(2y) + 2(2y)(4z) + 2(4z)(x)
= x2 + 4y2 + 16z2 + 4xy + 16yz + 8xz
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(99)3
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Write in the expanded form: `(x + 2y + 4z)^2`
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
If a + b = 8 and ab = 6, find the value of a3 + b3
If x = −2 and y = 1, by using an identity find the value of the following
If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If p + q = 8 and p - q = 4, find:
pq
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Which one of the following is a polynomial?
